Search a number
-
+
226124221 is a prime number
BaseRepresentation
bin11010111101001…
…10000110111101
3120202111022010011
431132212012331
5430341433341
634234343221
75414011201
oct1536460675
9522438104
10226124221
11106706524
126388ab11
1337b0311b
1422062b01
1514cb9b81
hexd7a61bd

226124221 has 2 divisors, whose sum is σ = 226124222. Its totient is φ = 226124220.

The previous prime is 226124219. The next prime is 226124237. The reversal of 226124221 is 122421622.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153636025 + 72488196 = 12395^2 + 8514^2 .

It is a cyclic number.

It is not a de Polignac number, because 226124221 - 21 = 226124219 is a prime.

It is a super-2 number, since 2×2261242212 = 102264326645713682, which contains 22 as substring.

Together with 226124219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 226124192 and 226124201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (226124251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113062110 + 113062111.

It is an arithmetic number, because the mean of its divisors is an integer number (113062111).

Almost surely, 2226124221 is an apocalyptic number.

It is an amenable number.

226124221 is a deficient number, since it is larger than the sum of its proper divisors (1).

226124221 is an equidigital number, since it uses as much as digits as its factorization.

226124221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 22.

The square root of 226124221 is about 15037.4273398078. The cubic root of 226124221 is about 609.2315154649.

Adding to 226124221 its reverse (122421622), we get a palindrome (348545843).

The spelling of 226124221 in words is "two hundred twenty-six million, one hundred twenty-four thousand, two hundred twenty-one".